Group GAP4(48,12)

Name: (C3 : C4) : C4
Maximal quotients:GAP4(16,4) GAP4(24,4) GAP4(24,5) GAP4(24,8)
Real polynomial:
x^48-288*x^46+38880*x^44-3268728*x^42+191763936*x^40-8336424096*x^38+2783339\
70984*x^36-7299539332416*x^34+152516122102080*x^32-2560045764062592*x^30+346\
54950480023424*x^28-378350268008790528*x^26+3319945002304382016*x^24-2325042\
1570472653824*x^22+128551629050862842880*x^20-552630983084827370496*x^18+180\
9522658078381688832*x^16-4392048986380947124224*x^14+7626118284459488918016*\
x^12-9041003134102997176320*x^10+6878727266561976545280*x^8-3094875706159313\
473536*x^6+745766717327327748096*x^4-82375134861314506752*x^2+32768462837753\
48736
Common denominator of the automorphisms:
43858119042012801484800
Complex polynomial:
x^48+288*x^46+38880*x^44+3268728*x^42+191763936*x^40+8336424096*x^38+2783339\
70984*x^36+7299539332416*x^34+152516122102080*x^32+2560045764062592*x^30+346\
54950480023424*x^28+378350268008790528*x^26+3319945002304382016*x^24+2325042\
1570472653824*x^22+128551629050862842880*x^20+552630983084827370496*x^18+180\
9522658078381688832*x^16+4392048986380947124224*x^14+7626118284459488918016*\
x^12+9041003134102997176320*x^10+6878727266561976545280*x^8+3094875706159313\
473536*x^6+745766717327327748096*x^4+82375134861314506752*x^2+32768462837753\
48736
Common denominator of the automorphisms:
43858119042012801484800

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.